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<p class=MsoNormal align=left style='text-align:left'><span lang=EN-US
style='mso-bidi-font-size:10.5pt;font-family:宋体;mso-bidi-font-family:宋体;
color:#5E615A;mso-font-kerning:0pt'>SM2</span><span style='mso-bidi-font-size:
10.5pt;font-family:宋体;mso-bidi-font-family:宋体;color:#5E615A;mso-font-kerning:
0pt'>椭圆曲线公钥密码算法是我国自主设计的公钥密码算法，包括<span lang=EN-US>SM2-1</span>椭圆曲线数字签名算法，<span
lang=EN-US>SM2-2</span>椭圆曲线密钥交换协议，<span lang=EN-US>SM2-3</span>椭圆曲线公钥加密算法，分别用于实现数字签名密钥协商和数据加密等功能。<span
lang=EN-US>SM2</span>算法与<span lang=EN-US>RSA</span>算法不同的是，<span lang=EN-US>SM2</span>算法是基于椭圆曲线上点群离散对数难题，相对于<span
lang=EN-US>RSA</span>算法，<span lang=EN-US>256</span>位的<span lang=EN-US>SM2</span>密码强度已经比<span
lang=EN-US>2048</span>位的<span lang=EN-US>RSA</span>密码强度要高。<span lang=EN-US>SM2</span>算法和</span><span
lang=EN-US style='font-family:宋体;mso-bidi-font-family:宋体;color:#5E615A;
mso-font-kerning:0pt'><a
href="https://baike.baidu.com/item/RSA%E7%AE%97%E6%B3%95/263310" target="_blank"><span
style='color:#5E615A;text-decoration:none;text-underline:none'>RSA</span><span
lang=EN-US style='color:#5E615A;text-decoration:none;text-underline:none'><span
lang=EN-US>算法</span></span></a></span><span style='mso-bidi-font-size:10.5pt;
font-family:宋体;mso-bidi-font-family:宋体;color:#5E615A;mso-font-kerning:0pt'>都是公钥密码算法，<span
lang=EN-US>SM2</span>算法是一种更先进安全的算法，在我们国家</span><span lang=EN-US
style='font-family:宋体;mso-bidi-font-family:宋体;color:#5E615A;mso-font-kerning:
0pt'><a
href="https://baike.baidu.com/item/%E5%95%86%E7%94%A8%E5%AF%86%E7%A0%81/10636778"
target="_blank"><span lang=EN-US style='color:#5E615A;text-decoration:none;
text-underline:none'><span lang=EN-US>商用密码</span></span></a></span><span
style='mso-bidi-font-size:10.5pt;font-family:宋体;mso-bidi-font-family:宋体;
color:#5E615A;mso-font-kerning:0pt'>体系中被用来替换</span><span lang=EN-US
style='font-family:宋体;mso-bidi-font-family:宋体;color:#5E615A;mso-font-kerning:
0pt'><a href="https://baike.baidu.com/item/RSA%E7%AE%97%E6%B3%95/263310"
target="_blank"><span style='color:#5E615A;text-decoration:none;text-underline:
none'>RSA</span><span lang=EN-US style='color:#5E615A;text-decoration:none;
text-underline:none'><span lang=EN-US>算法</span></span></a></span><span
style='mso-bidi-font-size:10.5pt;font-family:宋体;mso-bidi-font-family:宋体;
color:#5E615A;mso-font-kerning:0pt'>。<span lang=EN-US><o:p></o:p></span></span></p>

<p class=MsoNormal><span lang=EN-US><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal align=center style='text-align:center'><span lang=EN-US
style='mso-no-proof:yes'><!--[if gte vml 1]><v:shapetype id="_x0000_t75"
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src="sm2.files/image002.png"
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<p class=MsoNormal align=left style='mso-margin-top-alt:auto;mso-margin-bottom-alt:
auto;text-align:left;text-indent:24.0pt;line-height:21.0pt;mso-pagination:widow-orphan;
background:white'><span lang=EN-US style='mso-bidi-font-size:10.5pt;font-family:
宋体;mso-bidi-font-family:宋体;color:#5E615A;mso-font-kerning:0pt'>SM2</span><span
style='mso-bidi-font-size:10.5pt;font-family:宋体;mso-bidi-font-family:宋体;
color:#5E615A;mso-font-kerning:0pt'>加密使用接收方公钥加密，公钥由一个曲线坐标点组成，在<span lang=EN-US>X.509</span>证书中的共钥表示为<span
lang=EN-US>04</span>标记开始的<span lang=EN-US>2</span>个<span lang=EN-US>32byte</span>的<span
lang=EN-US>BigInteger</span>，即曲线点<span lang=EN-US>P</span>（<span lang=EN-US>x,y</span>）。<span
lang=EN-US>SM2</span>公钥加密算法比<span lang=EN-US>RSA</span>相对复杂，加密结果由<span
lang=EN-US>3</span>个部分组成，<span lang=EN-US>SM2</span>加密过程中使用了随机数，因此同样的明文数据每一次加密结果都不一样。<span
lang=EN-US>SM2</span>加密算法流程如下图所示。<span lang=EN-US><o:p></o:p></span></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-pagination:widow-orphan;
background:white'><span lang=EN-US><a
href="http://www.jonllen.cn/upload/jonllen/article/AsymEncipherment.png"
title="&quot;&quot; t "><span style='mso-bidi-font-size:10.5pt;font-family:
宋体;mso-bidi-font-family:宋体;color:#1B3674;mso-font-kerning:0pt;mso-no-proof:
yes;text-decoration:none;text-underline:none'><!--[if gte vml 1]><v:shape id="图片_x0020_4"
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 <v:imagedata src="sm2.files/image003.png" o:title="AsymEncipherment"/>
</v:shape><![endif]--><![if !vml]><span style='mso-ignore:vglayout'><img
border=0 width=509 height=724 src="sm2.files/image003.png"
alt="http://www.jonllen.cn/upload/jonllen/article/AsymEncipherment.png" v:shapes="图片_x0020_4"></span><![endif]></span></a></span><span
lang=EN-US style='mso-bidi-font-size:10.5pt;font-family:宋体;mso-bidi-font-family:
宋体;color:#5E615A;mso-font-kerning:0pt'><o:p></o:p></span></p>

<p class=MsoNormal align=left style='mso-margin-top-alt:auto;mso-margin-bottom-alt:
auto;text-align:left;text-indent:24.0pt;line-height:21.0pt;mso-pagination:widow-orphan;
background:white'><span style='mso-bidi-font-size:10.5pt;font-family:宋体;
mso-bidi-font-family:宋体;color:#5E615A;mso-font-kerning:0pt'>根据国密推荐的<span
lang=EN-US>SM2</span>椭圆曲线公钥密码算法，首先产生随机数计算出曲线点<span lang=EN-US>C1</span>，<span
lang=EN-US>2</span>个<span lang=EN-US>32byte</span>的<span lang=EN-US>BigInteger</span>大数，即为<span
lang=EN-US>SM2</span>加密结果的第<span lang=EN-US>1</span>部分。第<span lang=EN-US>2</span>部分则是真正的密文，是对明文的加密结果，长度和明文一样。第<span
lang=EN-US>3</span>部分是杂凑值，用来效验数据。按国密推荐的<span lang=EN-US>256</span>位椭圆曲线，明文加密结果比原长度会大<span
lang=EN-US>96byte</span>。<span lang=EN-US><o:p></o:p></span></span></p>

<p class=MsoNormal align=left style='mso-margin-top-alt:auto;mso-margin-bottom-alt:
auto;text-align:left;text-indent:24.0pt;line-height:21.0pt;mso-pagination:widow-orphan;
background:white'><span lang=EN-US style='mso-bidi-font-size:10.5pt;font-family:
宋体;mso-bidi-font-family:宋体;color:#5E615A;mso-font-kerning:0pt'>SM2</span><span
style='mso-bidi-font-size:10.5pt;font-family:宋体;mso-bidi-font-family:宋体;
color:#5E615A;mso-font-kerning:0pt'>加密算法同样也可以基于使用<span lang=EN-US>BouncyCastle</span>库实现。一般使用数字证书来标识身份，同时使用证书中公钥加密数据。如下<span
lang=EN-US>SM2Cipher</span>类是<span lang=EN-US>C#</span>下<span lang=EN-US>SM2</span>软算法实现。<span
lang=EN-US><o:p></o:p></span></span></p>

<p class=MsoNormal align=left style='text-align:left;line-height:12.0pt;
mso-pagination:widow-orphan;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;
background:white;word-break:break-all'><span lang=EN-US style='mso-bidi-font-size:
10.5pt;font-family:宋体;mso-bidi-font-family:宋体;color:#5E615A;mso-font-kerning:
0pt;mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="图片_x0020_3" o:spid="_x0000_i1026"
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</v:shape><![endif]--><![if !vml]><img border=0 width=11 height=16
src="sm2.files/image004.gif"
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v:shapes="图片_x0020_3"><![endif]></span><span lang=EN-US style='mso-bidi-font-size:
10.5pt;font-family:"Tahoma",sans-serif;mso-fareast-font-family:宋体;color:#5E615A;
mso-font-kerning:0pt'>SM2Cipher.cs</span><span lang=EN-US style='mso-bidi-font-size:
10.5pt;font-family:宋体;mso-bidi-font-family:宋体;color:#5E615A;mso-font-kerning:
0pt'><o:p></o:p></span></p>

<p class=MsoNormal align=left style='mso-margin-top-alt:auto;mso-margin-bottom-alt:
auto;text-align:left;text-indent:24.0pt;line-height:21.0pt;mso-pagination:widow-orphan;
background:white'><b><span lang=EN-US style='mso-bidi-font-size:10.5pt;
font-family:宋体;mso-bidi-font-family:宋体;color:#5E615A;mso-font-kerning:0pt'>SM2</span></b><b><span
style='mso-bidi-font-size:10.5pt;font-family:宋体;mso-bidi-font-family:宋体;
color:#5E615A;mso-font-kerning:0pt'>解密算法</span></b><span lang=EN-US
style='mso-bidi-font-size:10.5pt;font-family:宋体;mso-bidi-font-family:宋体;
color:#5E615A;mso-font-kerning:0pt'><o:p></o:p></span></p>

<p class=MsoNormal align=left style='mso-margin-top-alt:auto;mso-margin-bottom-alt:
auto;text-align:left;text-indent:24.0pt;line-height:21.0pt;mso-pagination:widow-orphan;
background:white'><span lang=EN-US style='mso-bidi-font-size:10.5pt;font-family:
宋体;mso-bidi-font-family:宋体;color:#5E615A;mso-font-kerning:0pt'>SM2</span><span
style='mso-bidi-font-size:10.5pt;font-family:宋体;mso-bidi-font-family:宋体;
color:#5E615A;mso-font-kerning:0pt'>解密算法是加密逆运算。首先需要从密文中取出加密结果的<span lang=EN-US>3</span>部分值，然后通过私钥计算出<span
lang=EN-US> M'</span>明文值，最后效验数据。<span lang=EN-US>SM2</span>解密算法流程如下图所示。<span
lang=EN-US>&nbsp;<o:p></o:p></span></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-pagination:widow-orphan;
background:white'><span lang=EN-US><a
href="http://www.jonllen.cn/upload/jonllen/article/AsymDecipherment.png"
title="&quot;&quot; t "><span style='mso-bidi-font-size:10.5pt;font-family:
宋体;mso-bidi-font-family:宋体;color:#1B3674;mso-font-kerning:0pt;mso-no-proof:
yes;text-decoration:none;text-underline:none'><!--[if gte vml 1]><v:shape id="图片_x0020_2"
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 href="http://www.jonllen.cn/upload/jonllen/article/AsymDecipherment.png"
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</v:shape><![endif]--><![if !vml]><span style='mso-ignore:vglayout'><img
border=0 width=460 height=748 src="sm2.files/image005.png"
alt="http://www.jonllen.cn/upload/jonllen/article/AsymDecipherment.png" v:shapes="图片_x0020_2"></span><![endif]></span></a></span><span
lang=EN-US style='mso-bidi-font-size:10.5pt;font-family:宋体;mso-bidi-font-family:
宋体;color:#5E615A;mso-font-kerning:0pt'><o:p></o:p></span></p>

<p class=MsoNormal align=left style='mso-margin-top-alt:auto;mso-margin-bottom-alt:
auto;text-align:left;text-indent:24.0pt;line-height:21.0pt;mso-pagination:widow-orphan;
background:white'><span lang=EN-US style='mso-bidi-font-size:10.5pt;font-family:
宋体;mso-bidi-font-family:宋体;color:#5E615A;mso-font-kerning:0pt'>&nbsp;SM2</span><span
style='mso-bidi-font-size:10.5pt;font-family:宋体;mso-bidi-font-family:宋体;
color:#5E615A;mso-font-kerning:0pt'>解密同样也可以使用软算法实现。但因为涉及到私钥运算，为保护私钥安全，建议在硬件设备中运行，例如<span
lang=EN-US>UKey</span>等存储介质这样可以更好的保护密钥安全。拿文件加密来说，首先拿<span lang=EN-US>UKey</span>里面的加密证书加密，这部分可在应用系统内完成。解密的话则需要加密证书对应<span
lang=EN-US>UKey</span>才能做解密，由应用系统调用<span lang=EN-US>UKey</span>解密接口，在物理硬件内完成数据解密，同时可以受设备<span
lang=EN-US>Ping</span>码保护。<span lang=EN-US><o:p></o:p></span></span></p>

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